I'm performing speech intelligibility tests in a cross-over design study. In effect, a paired t-test, or repeated-measures ANOVA analysis is the way to go here, because every subject serves as their own control. Basically, we test every subject in a control condition (C) and in a condition where we have tempered with the acoustic input to their hearing implant (T1, T2...). The outcome measure is the speech-reception threshold (SRT). The SRT is basically the signal-to-noise ratio where 50% of the words has been identified correctly.
So basically we can do paired t-tests or RM ANOVAs with the absolute SRTs as input.
We can also pre-determine the difference values. For both the RM ANOVA and the t-tests the inputs would be C-C (always yielding 0), T1-C, T2-C etc.
This made me wonder:
Do paired t-tests and RM-ANOVA yield the same result as their unpaired counterparts with the differences as input? (SRTcontrol - SRTtest).